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Finding the Fourth Proportional to 328.51, 453.25 and 186.71

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Solution

The fourth proportional to 328.51, 453.25 and 186.71 is: 257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.51 : 453.25 = 186.71 : x
  2. Step 2: Convert to fraction form
    328.51/453.25 = 186.71/x
  3. Step 3: Cross multiply
    328.51x = 453.25 × 186.71
  4. Step 4: Simplify right side
    328.51x = 84,628.62
  5. Step 5: Solve for x
    x = 84,628.62/328.51
  6. Step 6: Final answer
    x = 257.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.